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Finding the Fourth Proportional to 391,540.80, 587,311.20 and 343,329.60

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Solution

The fourth proportional to 391,540.80, 587,311.20 and 343,329.60 is: 514,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,540.80 : 587,311.20 = 343,329.60 : x
  2. Step 2: Convert to fraction form
    391,540.80/587,311.20 = 343,329.60/x
  3. Step 3: Cross multiply
    391,540.80x = 587,311.20 × 343,329.60
  4. Step 4: Simplify right side
    391,540.80x = 201,641,319,371.52
  5. Step 5: Solve for x
    x = 201,641,319,371.52/391,540.80
  6. Step 6: Final answer
    x = 514,994.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.